Research

Publications

  • BCM-thresholds of hypersurfaces J. Algebra, 669 (2025), 341-352
  • F-Volumes with Wágner Badilla-Céspedes and Luis Núñez-Betancourt, J. Algebra, 595(2022), 14-37

Preprints

  • The Briançon-Skoda Theorem via weak functoriality of big Cohen-Macaulay algebras with Karl Schwede. To appear in Michigan Math. J. arXiv:2406.02433 [math.AC]
  • BCM-thresholds of non-principal ideals with Karl Schwede, preprint available at arXiv:2501.16773 [math.AC]

Talks

  • We don’t talk about Frobenius: Redefining F-Thresholds, October 2025, Special Session on Commutative algebra, Hodge theory, Singularities, Central Sectional Meeting, California, USA
  • The Briançon-Skoda Theorem via Weak Functoriality of Big Cohen-Macaulay Algebras, October 2025, Special Session on Syzygies and Local Cohomology in Commutative Algebra, Fall Southeastern Sectional Meeting, California, USA.
  • Measuring Singularities in Different Characteristics, September 2025, Math Seminar, Montana State University, Montana, USA.
  • We don’t talk about Frobenius: Redefining F-Thresholds, May 2025, Special Session on Topics in Number Theory and Arithmetic Geometry, Western Sectional Meeting, California, USA.
  • The Briançon-Skoda Theorem via Weak Functoriality of Big Cohen-Macaulay Algebras, April 2025, Comutative Algebra Seminar, Purdue University, Indiana, USA.
  • The Briançon-Skoda Theorem via Weak Functoriality of Big Cohen-Macaulay Algebras, October 2024, Algebra Seminar, University of Missouri, Missouri, USA.
  • We don’t talk about Frobenius: Redefining F-Thresholds, July 2024, Special Session on Commutative Algebra, Joint Meeting RSME-SMM, Valencia, Spain.
  • We don’t talk about Frobenius: Redefining F-Thresholds, November 2023, Gender Equity in the Mathematical Study (GEMS) of Commutative Algebra 2023, University of Minnesota, Minnesota, USA.
  • F-Volumes, November 2019, Workshop on Topological and Analytical Methods in Singularity Theory, CIMAT, Guanajuato, Mexico.
  • F-Volumes, October 2019, Special Session on Algebraic Geometry, 52 National Meeting SMM, Monterey, Mexico.
  • Hilbert-Kunz Multiplicity (Expository), October 2018, Special Session on Algebraic Geometry, 51 National Meeting SMM, Villahermosa, Mexico.